Singular theta lifts and near-central special values of Rankin-Selberg L-functions
By: Luis Emilio Garcia
Publisher: [publisher not identified]
Published: 2013
Place of publication: [New York, N.Y.?]
Language: eng
Description: In this thesis we study integrals of a product of two automorphic forms of weight 2 on a Shimura curve over Q against a function on the curve with logarithmic singularities at CM points obtained as a Borcherds lift. We prove a formula relating periods of this type to a near-central special value of a Rankin-Selberg L-function. The results provide evidence for Beilinson's conjectures on special values of L-functions.
Notes: Department: Mathematics.

Thesis advisor: Shou-Wu Zhang.

Thesis (Ph.D.)--Columbia University, 2013.